Question

If p and q are the zeroes of 3x^+2x-9, what I'd the value of p-q

Answer 1

Answer:

required is 2x² - 5x + 3.

it is given that, p and q are zeroes of polynomial 3x² - 5x + 2.

sum of zeroes = - coefficient of x/coefficient of x²

or, p + q = -(-5)/3 = 5/3

product of zeroes = constant/coefficient of x²

or, pq = 2/3

now we have to find the polynomial zeroes of which are 1/p and 1/q.

sum of zeroes = 1/p + 1/q

= (p + q)/pq

from equations (1) and (2),

= (5/3)/(2/3) = 5/2

and products of zeros = 1/p × 1/q = 1/pq

= 1/(2/3) = 3/2